Question

What is the average velocity of someone who walks 3 km in a half hour, then 3 km in an hour, then 6 km in an hour and a half?

Answer 1

The average velocity is 4
`(km)/(hour)`

Step-by-step explanation:

Velocity is the magnitude that relates the change in position with time. That is, the speed expresses the relationship between the space traveled by an object and the time used for it.

The average velocity relates the change in position with the time taken to effect said change through the expression:

`velocity=(distance)/(time)`

In this case:

• distance= 3 km + 3 km + 6 km= 12 km

• time= half hour + an hour + an hour and a half= 30 minutes + 1 hour + 1 hour 30 minutes= 0.5 hour + 1 hour + 1.5 hour= 3 hours

Replacing:

`velocity=(12 km)/(3 hours)`

Solving:

velocity= 4
`(km)/(hour)`

The average velocity is 4
`(km)/(hour)`